Spherical Numbers: A n-Dimensional Division Algebra over the Reals

Anton Lorenz Vrba

Abstract


Spherical numbers in the group V are presented, and demonstrate that the numbers V of dimension Rn+1 , n>=1, form a finite to infinite-dimensional division algebra over R that is associative, commutative and distributive. As an application, a new multi-dimensional solution to the wave equation is derived that describe spherical wave objects, whose centre propagate with velocity c and the object intensity does not dilute with time or distance.

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Copyright (c) 2016 Anton Lorenz Vrba





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